The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. Add the downward diagonal products and subtract the upward products. Use this method to compute the following determinant. 3 -2 -1 -3 5 3 -1 4 3-2-1 5 1 -3 -1 3] = 4 *** a11 12 13 11 12 a21 22 23 21 22 a31 232 233 231 232
The expansion of a 3x3 determinant can be remembered by this device. Write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. Add the downward diagonal products and subtract the upward products. Use this method to compute the following determinant. 3 -2 -1 -3 5 3 -1 4 3-2-1 5 1 -3 -1 3] = 4 *** a11 12 13 11 12 a21 22 23 21 22 a31 232 233 231 232
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 29E
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